338843099904480 has 288 divisors, whose sum is σ = 1187591207493600. Its totient is φ = 87913254998016.

The previous prime is 338843099904469. The next prime is 338843099904481. The reversal of 338843099904480 is 84409990348833.

338843099904480 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 4 + 3 + 0 + 99 + 90 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338843099904480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 338843099904399 and 338843099904408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338843099904481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078850826 + ... + 2079013814.

It is an arithmetic number, because the mean of its divisors is an integer number (4123580581575).

Almost surely, 2^{338843099904480} is an apocalyptic number.

338843099904480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338843099904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593795603746800).

338843099904480 is an abundant number, since it is smaller than the sum of its proper divisors (848748107589120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338843099904480 is a wasteful number, since it uses less digits than its factorization.

338843099904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202066 (or 202055 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 338843099904480 in words is "three hundred thirty-eight trillion, eight hundred forty-three billion, ninety-nine million, nine hundred four thousand, four hundred eighty".